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关于密兹凯维奇大学Wacław Marzantowicz传授讲座的告诉

揭晓工夫:2019年11月19日  |  作者:满志欣  |  编辑:王伟  |  材料泉源:2019彩票新平台app  |  点击:[]

讲述问题:Geometrically distinct solutions given by symmetries of variational problems with the O(N) -symmetry

讲述人:Wacław Marzantowicz传授

讲述工夫:20191121日上午10:00

讲述地址:10号楼415集会室

 

讲述择要Abstract. For variational problems with O(N)-symmetry the existence of several geometrically distinct solutions has been shown by use of group theoretic approach in previous articles. It was done by a crafty choice of a family Hi O(N) subgroups such that the fixed point subspaces EHi E of the action in a corresponding functional space are linearly independent, next restricting the problem to each EHi and using the Palais symmetry principle. In this work we give a thorough explanation of this approach showing a correspondence between the equivalence classes of such subgroups, partial orthogonal flags in RN, and unordered partitions of the number N. By showing that spaces of functions invariant with respect to different classes of groups are linearly independent we prove that the amount of series of geometrically distinct solutions obtained in this way grows exponentially in N, in contrast to logarithmic, and linear growths of earlier papers.

 

讲述人简介:Wacław Marzantowicz传授,波兰数学学会主席,密兹凯维奇大学传授。次要研讨偏向:非线性剖析中的拓扑实际,复剖析,G-等价拓扑,不动点实际及偏微分方程。揭晓主要学术论文60余篇。

 

 

 

 

 

 

 

 

 

 

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